On the symmetric cube of a sphere
Jack Ucci · Transactions of the American Mathematical Society · 1970
JACK UCCI1. Introduction.Let Xm denote the cartesian product Xx ■ ■ ■ x X (m factors) of the based space X.The full symmetric group S(m) acts on Xm by permutation homeomorphisms and the quotient space Xm/S(m) is defined to be the wi-fold symmetric product SPmX of X.